On the Gleason problem

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Lemmers, F.A.M.O.

Publication date

2002

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Citation for published version (APA):

Lemmers, F. A. M. O. (2002). On the Gleason problem.

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Index x

A(Q),A(Q), 13 AAmm(SÏ),(SÏ), 40 Ap(fl),, 31 A-domain,, 57 analyticc polyhedron, 23, 54 BBpp,, 32 Backlund,, 24, 27, 29, 39, 47, 50 Beatrous,, 10, 25, 27, 47 Bremermann,, 15 C*,, 47 CC1+1+_{*(U),*(U), 39} CCkk_{boundary, 14} C-convex,, 40 Cauchy-Riemannn equation, 17 Cegrell,, 25 convex,, 40 Coronaa problem, 28 counterexample,, 28 Cousinn problem, 47 Ö,, 17 d-closed,, 17 definingg function, 14 Diederich,, 27 domain,, 13 domainn of holomorphy, 13 extremee point, 51 Fallström,, 22, 24, 27, 29, 35, 39, 47, 50 Fornaess,, 25, 27 Gleason,, 9, 21, 22 Gleasonn fl-property, 21 Gleasonn problem, 21 Grange,, 10, 24, 39, 46, 55 H(£l),H(£l), 13 H°°(Q),H°°(Q), 13 * Hn{f),Hn{f), 62 Hadamard,, 9 Hartogss domain, 27 Hartogss triangle, 70 Hefer,, 22 holomorphicc hull, 51, 53

holomorphicc support function, 59 Hörmander,, 25, 27, 31, 35, 58, 60 lp,lp, 9 interpolationn variety, 37 Jakobczak,, 25 Kerzman,, 25 Khenkin,, 18, 25, 62 Kohn,, 19, 25, 27 Kohn-Nirenbergg example, 27 LLPP,, 58 Lapin,, 38 Leibenzon,, 10, 23, 39, 55 lemmaa of Oka-Hefer, 22, 50, 61 Lemmers,, 10, 27 Levii polynomial, 58 Levii pseudoconvex, 14 Levii strictly pseudoconvex, 14 Lieb,, 25

lineallyy convex, 40 linearlyy convex, 40 locall defining function, 14 logarithmicc image, 47 M ( / , r ) ,, 31 multiplicityy variety, 37 nnww,, 40 Nagel,, 25 Nirenberg,, 27 Noell,, 27 non-schlicht,, 16, 28, 29 Norguet,, 15 « 1 / n .. 59 fififcfc,(,,(, 70 w,, 47 Oka,, 15, 22 orderr < p, 32 79 9

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80 0 orderr p, 31 Ortegaa Aramburu, 25 Ovrelid,, 19, 25, 27, 47 * ( - , P ) ,, 59 Kz,Kz, 40 plurisubharmonic,, 14 polynomiall polyhedron, 23 pseudoconvex,, 14 » ,, 27 Rp,Rp, 32 fi-spectrumschlicht,fi-spectrumschlicht, 28 Ramirez,, 18 Reinhardtt domain, 10, 47, 57 Riemannn domain, 15 5(fi),, 25 S(w),, 47 S-envelopee of holomorphy, 15 schlicht,, 16 Sibony,, 27 spectrum,, 28

Steinn neighborhood basis, 26, 27 strictlyy plurisubharmonic, 14 strictlyy pseudoconvex, 14 TiU),TiU), 43 Tp(dn),Tp(dn), 14 Thullen,, 16 typee r , 32 Vit,, 42 ;; corresponds t o 2, 42 weaklyy linearly convex, 40 Weill integral formula, 23 Wiegerinck,, 10, 27 Wormm domain, 27

ZZhh,, 47